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7138083960 = 233357944191
BaseRepresentation
bin1101010010111011…
…01000010001111000
3200102110120020101000
412221131220101320
5104104322141320
63140145525000
7341613466260
oct65135502170
920373506330
107138083960
113033298147
121472643760
13899ac2127
144ba0227a0
152bb9e2c90
hex1a9768478

7138083960 has 128 divisors (see below), whose sum is σ = 27192729600. Its totient is φ = 1631560320.

The previous prime is 7138083959. The next prime is 7138083991. The reversal of 7138083960 is 693808317.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464536 + ... + 479655.

It is an arithmetic number, because the mean of its divisors is an integer number (212443200).

Almost surely, 27138083960 is an apocalyptic number.

7138083960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7138083960 is an abundant number, since it is smaller than the sum of its proper divisors (20054645640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7138083960 is a wasteful number, since it uses less digits than its factorization.

7138083960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944218 (or 944208 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7138083960 is about 84487.1822231041. The cubic root of 7138083960 is about 1925.4277081892.

The spelling of 7138083960 in words is "seven billion, one hundred thirty-eight million, eighty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 944191 1888382 2832573 3776764 4720955 5665146 6609337 7553528 8497719 9441910 11330292 13218674 14162865 16995438 18883820 19828011 22660584 25493157 26437348 28325730 33046685 33990876 37767640 39656022 42488595 50986314 52874696 56651460 59484033 66093370 67981752 79312044 84977190 99140055 101972628 113302920 118968066 127465785 132186740 158624088 169954380 178452099 198280110 203945256 237936132 254931570 264373480 297420165 339908760 356904198 396560220 475872264 509863140 594840330 713808396 793120440 892260495 1019726280 1189680660 1427616792 1784520990 2379361320 3569041980 7138083960